We consider the problem of the reconstruction of dielectrics from blind backscattered experimental data. The reconstruction is done from time domain data, as opposed to a more conventional case of frequency domain data. Experimental data were collected using a microwave scattering facility which was built at the University of North Carolina at Charlotte. This system sends electromagnetic pulses into the medium and collects the time-resolved backscattered data on a part of a plane. The spatially distributed dielectric constant epsilon(r)(x), x is an element of R-3 is the unknown coefficient of a wave-like PDE. This coefficient is reconstructed from those data in blind cases. To do this, a globally convergent numerical method is used.

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BibTeX @article{Beilina2014,author={Beilina, Larisa and Thanh, T. and Klibanov, M. V. and Fiddy, M. A.},title={Reconstruction from blind experimental data for an inverse problem for a hyperbolic equation},journal={Inverse Problems},issn={0266-5611},volume={30},issue={2},pages={artikel nr 025002},abstract={We consider the problem of the reconstruction of dielectrics from blind backscattered experimental data. The reconstruction is done from time domain data, as opposed to a more conventional case of frequency domain data. Experimental data were collected using a microwave scattering facility which was built at the University of North Carolina at Charlotte. This system sends electromagnetic pulses into the medium and collects the time-resolved backscattered data on a part of a plane. The spatially distributed dielectric constant epsilon(r)(x), x is an element of R-3 is the unknown coefficient of a wave-like PDE. This coefficient is reconstructed from those data in blind cases. To do this, a globally convergent numerical method is used.},year={2014},keywords={coefficient inverse problem (CIP), finite element method, globally convergent numerical method for, OLT RH, 1978, GEOPHYSICS, V43, P23 },}

RefWorks RT Journal ArticleSR ElectronicID 197366A1 Beilina, LarisaA1 Thanh, T.A1 Klibanov, M. V.A1 Fiddy, M. A.T1 Reconstruction from blind experimental data for an inverse problem for a hyperbolic equationYR 2014JF Inverse ProblemsSN 0266-5611VO 30IS 2AB We consider the problem of the reconstruction of dielectrics from blind backscattered experimental data. The reconstruction is done from time domain data, as opposed to a more conventional case of frequency domain data. Experimental data were collected using a microwave scattering facility which was built at the University of North Carolina at Charlotte. This system sends electromagnetic pulses into the medium and collects the time-resolved backscattered data on a part of a plane. The spatially distributed dielectric constant epsilon(r)(x), x is an element of R-3 is the unknown coefficient of a wave-like PDE. This coefficient is reconstructed from those data in blind cases. To do this, a globally convergent numerical method is used.LA engDO 10.1088/0266-5611/30/2/025002LK http://dx.doi.org/10.1088/0266-5611/30/2/025002OL 30